Error estimates for the Euler discretization of an optimal control problem with first-order state constraints

In this paper, we prove regularity properties of the boundary of the optimal shapes Ω ∗ in any case and in any dimension.. Full regularity is obtained in

If d = 2, in order to have the regularity of the whole boundary, we have to show that Theorem 6.6 and Corollary 6.7 in [1] (which are for solutions and not weak-solutions) are

Previously, some stability estimates for inverse problems involving the stationary transport equation have been obtained by Romanov in [4].. He used different

Vexler, Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints. Yan, A new finite

The no-gap second order conditions of Pontryagin and bounded strong minima in optimal control problems with initial-final state constraints and mixed state-control

Tr¨ oltzsch, Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints. Tr¨ oltzsch, Lipschitz stability of optimal controls for

We prove that any local solution of the continuous control problem which is qualified and satisfies the sufficient second order optimality conditions can be uniformly approximated

R¨ osch, Error estimates for the regularization of optimal control problems with pointwise control and state constraints.. R¨ osch, Error estimates for the Lavrentiev regularization